Explicit construction of nilpotent covariants in N = 4 SYM
نویسندگان
چکیده
Some aspects of correlation functions in N = 4 SYM are discussed. Using N = 4 harmonic su-perspace we study two and three-point correlation functions which are of contact type and argue that these contact terms will not affect the non-renormalisation theorem for such correlators at non-coincident points. We then present a perturbative calculation of a five-point function at two loops in N = 2 harmonic superspace and verify that it reproduces the derivative of the previously found four-point function with respect to the coupling. The calculation of this four-point function via the five-point function turns out to be significantly simpler than the original direct calculation. This calculation also provides an explicit construction of an N = 2 component of an N = 4 five-point nilpotent covariant that violates U (1) Y symmetry.
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